The equation y2exy=9e−3.x2 defines y as a differentiable function of x. The value of dydx for x=−1 and y=3 is
A
−152
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B
−95
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C
3
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D
15
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Solution
The correct option is D15 y2exy=9e−3.x2 Differentiate both sides ddx(y2exy)=ddx(9e−3x2) 2ydydxexy+y2exy(xdydx+y)=9e−3(2x) On solving, we get dydx=18xe−3−y3exy2yexy+y2exyx putting x=−1,y=3, we get dydx=−18e−3−27e−36e−3−9e−3=−45e−3−3e−3=15